The variation of force $\mathrm{F}$ acting on a body moving along $x$-axis varies with its position $\left(\mathrm{x}\right)$ as shown in figure

The body is in stable equilibrium state at

A block of mass $\sqrt{2} \mathrm{kg}$ is released from the top of an inclined smooth surface as shown in figure. If spring constant of spring is $100 \mathrm{N} {\mathrm{m}}^{-1}$ and block comes to rest after compressing the spring by $1 \mathrm{m},$ then the distance travelled by block before it comes to rest is

In the figure shown, a particle is released from the position Aon a smooth track. When the particle reaches at $B\mathit{,}$ then normal reaction on it by the track is

A particle is moving along a vertical circle of radius $R.$ At $P,$ what will be the velocity of particle (assume critical condition at $C) ?$

A particle of mass $m$ attached to the end of string of length $l$ is released from the horizontal position. The particle rotates in a circle about $O$ as shown. When it is vertically below $O,$ the string makes contact with a nail $N$ placed directly below $O$ at a distance $h$ and rotates around it. For the particle to swing completely around the nail in a circle,